FZ Hydra

注：该记号定义程度为7.4，原因是KNK不会写fake系列的规则（

主规则：

${\psi }_Z(0)=1$

${\psi }_Z[\mathrm{\&}](\mathrm{\#}+1)={\psi }_Z[\mathrm{\&}](\mathrm{\#})+{\psi }_Z[\mathrm{\&}](\mathrm{\#})+{\psi }_Z[\mathrm{\&}](\mathrm{\#})+...$

兼容规则（只展示KNK会写的，后续会陆续更新出完整的规则）：

${\psi }_{Z_n}({\psi }_{Z_{n+1}}(0))={\psi }_{Z_n}[{\psi }_{Z_{n+1}}(0)]({\psi }_{Z_{n+1}}[{\psi }_{Z_{n+2}}(0)]({\psi }_{Z_{n+2}}[{\psi }_{Z_{n+3}}(0)](...)))$

${\psi }_{Z_n}[{\psi }_{Z_{n+1}}(0)]({\psi }_{Z_{n+1}}(0))={\psi }_{Z_n}({\psi }_{Z_n}({\psi }_{Z_n}(...)))$

分析过程：

注：分析使用的OCF如果没有明确标记是B还是M的话，默认的是MOCF

${\psi }_Z(0)=1$

${\psi }_Z(0)+{\psi }_Z(0)=2$

${\psi }_Z(0)+{\psi }_Z(0)+{\psi }_Z(0)=3$

${\psi }_Z(1)={\psi }_Z(0)+{\psi }_Z(0)+{\psi }_Z(0)+...=\omega$

${\psi }_Z(1)+{\psi }_Z(0)=\omega +1$

${\psi }_Z(1)+{\psi }_Z(0)+{\psi }_Z(0)=\omega +2$

${\psi }_Z(1)+{\psi }_Z(0)+{\psi }_Z(0)+{\psi }_Z(0)=\omega +3$

${\psi }_Z(1)+{\psi }_Z(1)=\omega \times 2$

${\psi }_Z(1)+{\psi }_Z(1)+{\psi }_Z(0)=\omega \times 2+1$

${\psi }_Z(1)+{\psi }_Z(1)+{\psi }_Z(1)=\omega \times 3$

${\psi }_Z(1)+{\psi }_Z(1)+{\psi }_Z(1)+{\psi }_Z(1)=\omega \times 4$

${\psi }_Z(2)={\psi }_Z(1)+{\psi }_Z(1)+{\psi }_Z(1)+...={\omega }^2$

${\psi }_Z(2)+{\psi }_Z(0)={\omega }^2+1$

${\psi }_Z(2)+{\psi }_Z(1)={\omega }^2+\omega$

${\psi }_Z(2)+{\psi }_Z(2)={\omega }^2\times 2$

${\psi }_Z(2)+{\psi }_Z(2)+{\psi }_Z(2)={\omega }^2\times 3$

${\psi }_Z(3)={\psi }_Z(2)+{\psi }_Z(2)+{\psi }_Z(2)+...={\omega }^3$

${\psi }_Z(4)={\psi }_Z(3)+{\psi }_Z(3)+{\psi }_Z(3)+...={\omega }^4$

${\psi }_Z(\omega )={\psi }_Z({\psi }_Z(1))={\omega }^{\omega }$

${\psi }_Z(\omega )+{\psi }_Z(0)={\psi }_Z({\psi }_Z(1))+{\psi }_Z(0)={\omega }^{\omega }+1$

${\psi }_Z(\omega )+{\psi }_Z(1)={\psi }_Z({\psi }_Z(1))+{\psi }_Z(1)={\omega }^{\omega }+\omega$

${\psi }_Z(\omega )+{\psi }_Z(2)={\psi }_Z({\psi }_Z(1))+{\psi }_Z(2)={\omega }^{\omega }+{\omega }^2$

${\psi }_Z(\omega )+{\psi }_Z(\omega )={\psi }_Z({\psi }_Z(1))+{\psi }_Z({\psi }_Z(1))={\omega }^{\omega }\times 2$

${\psi }_Z(\omega )+{\psi }_Z(\omega )+{\psi }_Z(\omega )={\psi }_Z({\psi }_Z(1))+{\psi }_Z({\psi }_Z(1))+{\psi }_Z({\psi }_Z(1))={\omega }^{\omega }\times 3$

${\psi }_Z(\omega +1)={\psi }_Z({\psi }_Z(1)+{\psi }_Z(0))={\omega }^{\omega +1}$

${\psi }_Z(\omega +2)={\psi }_Z({\psi }_Z(1)+{\psi }_Z(0)+{\psi }_Z(0))={\omega }^{\omega +2}$

${\psi }_Z(\omega +3)={\psi }_Z({\psi }_Z(1)+{\psi }_Z(0)+{\psi }_Z(0)+{\psi }_Z(0))={\omega }^{\omega +3}$

${\psi }_Z({\psi }_Z(1)+{\psi }_Z(1))={\omega }^{\omega \times 2}$

${\psi }_Z({\psi }_Z(1)+{\psi }_Z(1)+{\psi }_Z(1))={\omega }^{\omega \times 3}$

${\psi }_Z({\psi }_Z(2))={\omega }^{{\omega }^2}$

${\psi }_Z({\psi }_Z(3))={\omega }^{{\omega }^3}$

${\psi }_Z({\psi }_Z({\psi }_Z(1)))={\omega }^{{\omega }^{\omega }}$

${\psi }_Z({\psi }_Z({\psi }_Z({\psi }_Z(1))))={\omega }^{{\omega }^{{\omega }^{\omega }}}$

${\psi }_Z({\psi }_Z({\psi }_Z({\psi }_Z({\psi }_Z(1)))))={\omega }^{{\omega }^{{\omega }^{{\omega }^{\omega }}}}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))={\psi }_Z({\psi }_Z({\psi }_Z(...)))={\epsilon }_0$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))+{\psi }_Z(0)={\epsilon }_0+1$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))+{\psi }_Z(1)={\epsilon }_0+\omega$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))+{\psi }_Z({\psi }_Z(1))={\epsilon }_0+{\omega }^{\omega }$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))+{\psi }_Z({\psi }_Z({\psi }_Z(1)))={\epsilon }_0+{\omega }^{{\omega }^{\omega }}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))\times 2={\epsilon }_0\times 2$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))\times 3={\epsilon }_0\times 3$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+1)={\epsilon }_0\times \omega$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+2)={\epsilon }_0\times {\omega }^2$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+3)={\epsilon }_0\times {\omega }^3$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z(1))={\epsilon }_0\times {\omega }^{\omega }$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z({\psi }_Z(1)))={\epsilon }_0\times {\omega }^{{\omega }^{\omega }}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)))={\epsilon }_0^2$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)))+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))={\epsilon }_0^2+{\epsilon }_0$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)))\times 2={\epsilon }_0^2\times 2$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))+1)={\epsilon }_0^2\times \omega$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))+{\psi }_Z(1))={\epsilon }_0^2\times {\omega }^{\omega }$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))\times 2)={\epsilon }_0^3$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))\times 3)={\epsilon }_0^4$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+1))={\epsilon }_0^{\omega }$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+1)+1)={\epsilon }_0^{\omega }\times \omega$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+1)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)))={\epsilon }_0^{\omega +1}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+1)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))\times 2)={\epsilon }_0^{\omega +2}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+1)\times 2)={\epsilon }_0^{\omega \times 2}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+2))={\epsilon }_0^{{\omega }^2}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+3))={\epsilon }_0^{{\omega }^3}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z(1)))={\epsilon }_0^{{\omega }^{\omega }}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))))={\epsilon }_0^{{\epsilon }_0}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))))={\epsilon }_0^{{\epsilon }_0^{{\epsilon }_0}}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)\times 2)={\epsilon }_1$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)\times 2+1)={\epsilon }_1\times \omega$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)\times 2+{\psi }_Z(1))={\epsilon }_1\times {\omega }^{\omega }$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)\times 2+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)))={\epsilon }_1\times {\epsilon }_0$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)\times 2+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))))={\epsilon }_1\times {\epsilon }_0^{{\epsilon }_0}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)\times 2+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)\times 2))={\epsilon }_1^2$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)\times 2+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)\times 2+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))))={\epsilon }_1^{{\epsilon }_0}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)\times 2+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)\times 2+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)\times 2)))={\epsilon }_1^{{\epsilon }_1}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)\times 3)={\epsilon }_2$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(1))={\epsilon }_{\omega }$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(1)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)))={\epsilon }_{\omega }\times {\epsilon }_0$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(1)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(1)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(1))))={\epsilon }_{\omega }^{{\epsilon }_{\omega }}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(1)+{\psi }_{Z_2}(0))={\epsilon }_{\omega +1}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(1)+{\psi }_{Z_2}(0)\times 2)={\epsilon }_{\omega +2}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(1)+{\psi }_{Z_2}(0)\times 3)={\epsilon }_{\omega +3}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(1)\times 2)={\epsilon }_{\omega \times 2}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(1)\times 3)={\epsilon }_{\omega \times 3}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(2))={\epsilon }_{{\omega }^2}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(3))={\epsilon }_{{\omega }^3}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_Z(1)))={\epsilon }_{{\omega }^{\omega }}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))))={\epsilon }_{{\epsilon }_0}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)))))={\epsilon }_{{\epsilon }_{{\epsilon }_0}}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)))={\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(...)))))={\zeta }_0$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+1)={\zeta }_0\times \omega$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))))={\zeta }_0^2$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)))))={\zeta }_0^{{\zeta }_0}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}(0))={\epsilon }_{{\zeta }_0+1}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}(0)\times 2)={\epsilon }_{{\zeta }_0+2}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}(1))={\epsilon }_{{\zeta }_0+\omega }$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}({\psi }_Z(1)))={\epsilon }_{{\zeta }_0+{\omega }^{\omega }}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))))={\epsilon }_{{\zeta }_0+{\epsilon }_0}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)\times 2)))={\epsilon }_{{\zeta }_0+{\epsilon }_1}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)))))={\epsilon }_{{\zeta }_0\times 2}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)))))={\epsilon }_{{\zeta }_0^{{\zeta }_0}}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}(0))))={\epsilon }_{{\epsilon }_{{\zeta }_0+1}}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}(0))))))={\epsilon }_{{\epsilon }_{{\epsilon }_{{\zeta }_0+1}}}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))\times 2)={\zeta }_1$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))\times 3)={\zeta }_2$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)+1))={\zeta }_{\omega }$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))))={\zeta }_{{\epsilon }_0}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)))))={\zeta }_{{\zeta }_0}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)))))))={\zeta }_{{\zeta }_{{\zeta }_0}}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)\times 2))={\eta }_0=\phi (3,0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)\times 3))={\theta }_0=\phi (4,0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)\times 4))={\iota }_0=\phi (5,0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)\times 5))={\kappa }_0=\phi (6,0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)\times 6))={\lambda }_0=\phi (7,0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1)))=\phi (\omega ,0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1))+{\psi }_{Z_2}(0))=\phi (1,\phi (\omega ,0)+1)={\epsilon }_{\phi (\omega ,0)+1}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1))+{\psi }_{Z_2}({\psi }_{Z_2}(0)))=\phi (2,\phi (\omega ,0)+1)={\zeta }_{\phi (\omega ,0)+1}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1))+{\psi }_{Z_2}({\psi }_{Z_2}(0)\times 2))=\phi (3,\phi (\omega ,0)+1)={\eta }_{\phi (\omega ,0)+1}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1))+{\psi }_{Z_2}({\psi }_{Z_2}(0)\times 3))=\phi (4,\phi (\omega ,0)+1)={\theta }_{\phi (\omega ,0)+1}$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1))\times 2)=\phi (\omega ,1)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1))\times 3)=\phi (\omega ,2)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1)+1))=\phi (\omega ,\omega )$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1)))))=\phi (\omega ,\phi (\omega ,0))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1)))))))=\phi (\omega ,\phi (\omega ,\phi (\omega ,0))))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1)+{\psi }_{Z_2}(0)))=\phi (\omega +1,0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1)+{\psi }_{Z_2}(0)\times 2))=\phi (\omega +2,0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1)\times 2))=\phi (\omega \times 2,0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1)\times 3))=\phi (\omega \times 3,0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(2)))=\phi ({\omega }^2,0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_Z(1))))=\phi ({\omega }^{\omega },0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)))))=\phi ({\epsilon }_0,0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))))))=\phi ({\zeta }_0,0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1))))))=\phi (\phi (\omega ,0),0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(1)))))))))=\phi (\phi (\phi (\omega ,0),0),0)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0))))=\phi (1,0,0)={\mathrm{\Gamma }}_0=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0)))+{\psi }_{Z_2}(0))=\phi (1,\phi (1,0,0)+1)={\epsilon }_{{\mathrm{\Gamma }}_0+1}=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }}+1)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0)))+{\psi }_{Z_2}({\psi }_{Z_2}(0)))=\phi (2,\phi (1,0,0)+1)={\zeta }_{{\mathrm{\Gamma }}_0+1}=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }}+\mathrm{\Omega })$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0)))\times 2)=\phi (1,0,1)={\mathrm{\Gamma }}_1=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }}\times 2)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0)))\times 3)=\phi (1,0,2)={\mathrm{\Gamma }}_2=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }}\times 3)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0))+1))=\phi (1,0,\omega )={\mathrm{\Gamma }}_{\omega }=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }}\times \omega )$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0))))))=\phi (1,0,\phi (1,0,0))={\mathrm{\Gamma }}_{{\mathrm{\Gamma }}_0}=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }}\times \psi ({\mathrm{\Omega }}^{\mathrm{\Omega }}))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}(0)))=\phi (1,1,0)=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }+1})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}(0)\times 2))=\phi (1,2,0)=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }+2})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}(1)))=\phi (1,\omega ,0)=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }+\omega })$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)))))=\phi (1,\phi (1,0),0)=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }+\psi (0)})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))))))=\phi (1,\phi (2,0),0)=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }+\psi (\mathrm{\Omega })})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0))+{\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0)))))))=\phi (1,\phi (1,0,0),0)=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }+\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }})})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0))\times 2))=\phi (2,0,0)=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }\times 2})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0))\times 3))=\phi (3,0,0)=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }\times 3})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0)+1)))=\phi (\omega ,0,0)=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }\times \omega })$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0)))))))=\phi (\phi (1,0,0),0,0)=\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }\times \psi ({\mathrm{\Omega }}^{\mathrm{\Omega }})})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0)\times 2)))=\phi (1,0,0,0)=\psi ({\mathrm{\Omega }}^{{\mathrm{\Omega }}^2})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0)\times 3)))=\phi (1,0,0,0,0)=\psi ({\mathrm{\Omega }}^{{\mathrm{\Omega }}^3})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(1))))=\psi ({\mathrm{\Omega }}^{{\mathrm{\Omega }}^{\omega }})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))))))=\psi ({\mathrm{\Omega }}^{{\mathrm{\Omega }}^{\psi (0)}})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0)))))))=\psi ({\mathrm{\Omega }}^{{\mathrm{\Omega }}^{\psi (\mathrm{\Omega })}})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0))))))))=\psi ({\mathrm{\Omega }}^{{\mathrm{\Omega }}^{\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }})}})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0))))))))))))=\psi ({\mathrm{\Omega }}^{{\mathrm{\Omega }}^{\psi ({\mathrm{\Omega }}^{\psi ({\mathrm{\Omega }}^{\mathrm{\Omega }})})}})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0)))))=\psi ({\mathrm{\Omega }}^{{\mathrm{\Omega }}^{\mathrm{\Omega }}})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}({\psi }_{Z_2}(0))))))=\psi ({\mathrm{\Omega }}^{{\mathrm{\Omega }}^{{\mathrm{\Omega }}^{\mathrm{\Omega }}}})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)))=\psi ({\psi }_1(0))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0))+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0)))=\psi ({\psi }_1(0)+1)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0))+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}({\psi }_{Z_2}(0))))=\psi ({\psi }_1(0)+\psi (\mathrm{\Omega }))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0))+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0))))=\psi ({\psi }_1(0)+\psi ({\psi }_1(0)))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0))+{\psi }_{Z_2}(0))=\psi ({\psi }_1(0)+\mathrm{\Omega })$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0))+{\psi }_{Z_2}({\psi }_{Z_2}(0)))=\psi ({\psi }_1(0)+{\mathrm{\Omega }}^{\mathrm{\Omega }})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0))\times 2)=\psi ({\psi }_1(0)\times 2)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0))\times 3)=\psi ({\psi }_1(0)\times 3)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)+1))=\psi ({\psi }_1(0)\times \omega )$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)+{\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)))))=\psi ({\psi }_1(0)\times \psi ({\psi }_1(0)))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)+{\psi }_{Z_2}(0)))=\psi ({\psi }_1(0)\times \mathrm{\Omega })$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)+{\psi }_{Z_2}({\psi }_{Z_2}(0))))=\psi ({\psi }_1(0)\times {\mathrm{\Omega }}^{\mathrm{\Omega }})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0))))=\psi ({\psi }_1(0{)}^2)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)+1)))=\psi ({\psi }_1(0{)}^{\omega })$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)+{\psi }_{Z_2}(0))))=\psi ({\psi }_1(0{)}^{\mathrm{\Omega }})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)))))=\psi ({\psi }_1(0{)}^{{\psi }_1(0)})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0))))))=\psi ({\psi }_1(0{)}^{{\psi }_1(0{)}^{{\psi }_1(0)}})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)\times 2))=\psi ({\psi }_1(1))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)\times 2+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)\times 2)))=\psi ({\psi }_1(1{)}^2)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)\times 2+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)\times 2+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)\times 2))))=\psi ({\psi }_1(1{)}^{{\psi }_1(1)})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)\times 3))=\psi ({\psi }_1(2))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)\times 4))=\psi ({\psi }_1(3))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(1)))=\psi ({\psi }_1(\omega ))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)))))=\psi ({\psi }_1({\psi }_1(0)))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)))))))=\psi ({\psi }_1({\psi }_1({\psi }_1(0))))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0))))=\psi ({\mathrm{\Omega }}_2)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0)))+{\psi }_{Z_2}(0))=\psi ({\mathrm{\Omega }}_2+\mathrm{\Omega })$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0)))+{\psi }_{Z_2}({\psi }_{Z_2}(0)))=\psi ({\mathrm{\Omega }}_2+{\mathrm{\Omega }}^{\mathrm{\Omega }})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0)))+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)))=\psi ({\mathrm{\Omega }}_2+{\psi }_1(0))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0)))+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0)\times 2))=\psi ({\mathrm{\Omega }}_2+{\psi }_1(1))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0)))\times 2)=\psi ({\mathrm{\Omega }}_2+{\psi }_1({\mathrm{\Omega }}_2))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0)))\times 3)=\psi ({\mathrm{\Omega }}_2+{\psi }_1({\mathrm{\Omega }}_2)\times 2)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0))+1))=\psi ({\mathrm{\Omega }}_2+{\psi }_1({\mathrm{\Omega }}_2)\times \omega )$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0))+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0))+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0))))))=\psi ({\mathrm{\Omega }}_2+{\psi }_1({\mathrm{\Omega }}_2{)}^{{\psi }_1({\mathrm{\Omega }}_2)})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0))+{\psi }_{Z_3}(0)))=\psi ({\mathrm{\Omega }}_2+{\psi }_1({\mathrm{\Omega }}_2+1))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0))+{\psi }_{Z_3}({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0))+{\psi }_{Z_3}(0)))))=\psi ({\mathrm{\Omega }}_2+{\psi }_1({\mathrm{\Omega }}_2+{\psi }_1({\mathrm{\Omega }}_2+1)))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0))\times 2))=\psi ({\mathrm{\Omega }}_2\times 2)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0)+1)))=\psi ({\mathrm{\Omega }}_2\times \omega )$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0)+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0))))))=\psi ({\mathrm{\Omega }}_2\times {\psi }_1({\mathrm{\Omega }}_2))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0)+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0)+{\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0))))))))=\psi ({\mathrm{\Omega }}_2\times {\psi }_1({\mathrm{\Omega }}_2\times {\psi }_1({\mathrm{\Omega }}_2)))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0)\times 2)))=\psi ({\mathrm{\Omega }}_2^2)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(1))))=\psi ({\mathrm{\Omega }}_2^{\omega })$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0)))))))=\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}(0))))))))))=\psi ({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2^{{\psi }_1({\mathrm{\Omega }}_2)})})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}({\psi }_{Z_3}(0)))))=\psi ({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}({\psi }_{Z_3}({\psi }_{Z_3}({\psi }_{Z_3}(0))))))=\psi ({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2}})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}[{\psi }_{Z_4}(0)]({\psi }_{Z_4}(0))))=\psi ({\psi }_2(0))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}[{\psi }_{Z_4}(0)]({\psi }_{Z_4}({\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}(0))))))=\psi ({\psi }_2(\psi (0)))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}[{\psi }_{Z_4}(0)]({\psi }_{Z_4}({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}(0))))))=\psi ({\psi }_2({\psi }_1(0)))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}[{\psi }_{Z_4}(0)]({\psi }_{Z_4}({\psi }_{Z_3}[{\psi }_{Z_4}(0)]({\psi }_{Z_4}(0))))))=\psi ({\psi }_2({\psi }_2(0)))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}[{\psi }_{Z_4}(0)]({\psi }_{Z_4}({\psi }_{Z_3}[{\psi }_{Z_4}(0)]({\psi }_{Z_4}({\psi }_{Z_3}[{\psi }_{Z_4}(0)]({\psi }_{Z_4}(0))))))))=\psi ({\psi }_2({\psi }_2({\psi }_2(0))))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}[{\psi }_{Z_4}(0)]({\psi }_{Z_4}({\psi }_{Z_4}(0)))))=\psi ({\mathrm{\Omega }}_3)$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}[{\psi }_{Z_4}(0)]({\psi }_{Z_4}({\psi }_{Z_4}({\psi }_{Z_4}(0))))))=\psi ({\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_3})$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}[{\psi }_{Z_4}(0)]({\psi }_{Z_4}[{\psi }_{Z_5}(0)]({\psi }_{Z_5}(0)))))=\psi ({\psi }_3(0))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}[{\psi }_{Z_4}(0)]({\psi }_{Z_4}[{\psi }_{Z_5}(0)]({\psi }_{Z_5}({\psi }_{Z_5}[{\psi }_{Z_6}(0)]({\psi }_{Z_6}(0)))))))=\psi ({\psi }_4(0))$

${\psi }_Z[{\psi }_{Z_2}(0)]({\psi }_{Z_2}[{\psi }_{Z_3}(0)]({\psi }_{Z_3}[{\psi }_{Z_4}(0)]({\psi }_{Z_4}[{\psi }_{Z_5}(0)]({\psi }_{Z_5}({\psi }_{Z_5}[{\psi }_{Z_6}(0)]({\psi }_{Z_6}({\psi }_{Z_6}[{\psi }_{Z_7}(0)]({\psi }_{Z_7}(0)))))))))=\psi ({\psi }_5(0))$

${\psi }_Z({\psi }_{Z_2}(0))=\psi ({\mathrm{\Omega }}_{\omega })=(0)(1,1,1)$